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Finding the Fourth Proportional to 120,413, 180,507.72 and 44,469.56

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Solution

The fourth proportional to 120,413, 180,507.72 and 44,469.56 is: 66,663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,413 : 180,507.72 = 44,469.56 : x
  2. Step 2: Convert to fraction form
    120,413/180,507.72 = 44,469.56/x
  3. Step 3: Cross multiply
    120,413x = 180,507.72 × 44,469.56
  4. Step 4: Simplify right side
    120,413x = 8,027,098,885.00
  5. Step 5: Solve for x
    x = 8,027,098,885.00/120,413
  6. Step 6: Final answer
    x = 66,663.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.